New matrix domain derived by the matrix product

KARAKAYA V., ŞİMŞEK N., Doğan K.

Filomat, cilt.30, sa.5, ss.1233-1241, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1605233k
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1233-1241
  • Anahtar Kelimeler: Generalized difference sequence space, generalized weighted mean, AK and AD properties, the alpha-, beta- and gamma- duals and bases of sequences, matrix mappings
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this work, we define new sequence spaces by using the matrix obtained by product of factorable matrix and generalized difference matrix of order m. Afterward, we investigate topological structure which are completeness, AK-property, AD-property. Also, we compute the α-, β- and γ - duals, and obtain bases for these sequence spaces. Finally we give necessary and sufficient conditions on matrix transformation between these new sequence spaces and c, ℓ∞.